Gradient estimates for porous medium and fast diffusion equations by martingale method
Probability
2015-05-22 v2 Analysis of PDEs
Abstract
In this paper, we establish several local and global gradient estimates for the positive solution of Porous Medium Equations (PMEs) and Fast Diffusion Equations (FDEs). Our proof is probabilistic and uses martingale techniques.
Cite
@article{arxiv.1206.1394,
title = {Gradient estimates for porous medium and fast diffusion equations by martingale method},
author = {Ying Hu and Zhongmin Qian and Zichen Zhang},
journal= {arXiv preprint arXiv:1206.1394},
year = {2015}
}